How to move iTunes album file back onto iPod Shuffle

Quite a while ago, I removed an album from my iPod Shuffle, although I don't know how since i was quite young and got someone to do it for me. However, now i want to put it back onto my iPod Shuffle.

This is the file for the album (I have crossed out my name for privacy reasons). When I go onto iTunes, there is no evidence to show I ever got it. It isn't in my Purchased songs (neither are any of my other songs, which is weird because I purchased them and they're on my device) and it is not hidden. It is not on the device at all, but it is in the folder with the iPod symbol. I can listen to the songs on my computer because they are in the album's folder in the picture above, but I would like them on my device. is there any way to do this?

Thank you in advance.